Mathematical knowledge comes from life and serves it. Mathematics should be an indispensable part of students' life. Based on this, mathematics teaching should start from students' life experience and existing knowledge, create vivid and interesting situations, guide students to observe and think about problems from life practice, discover and understand mathematics, and establish corresponding mathematical models according to different practical problems. First, a triangular model is established to solve the problem. For example, after learning triangles, in order to consolidate the relevant knowledge of triangles, the topic can be: There is a pond, and it is difficult to directly measure the distance between AB at both ends of the pond. How can I measure the length of AB? Modeling 1: construct a right triangle, solve the problem by Pythagorean theorem, and find AB; Modeling 2: constructing isosceles triangle or equilateral triangle to find AB; Modeling 3: construct triangle and its midline, and use the properties of midline to find AB; Modeling 4: Construct two triangles and use congruent or similar properties to find AB. When solving problems, students should be encouraged to boldly put forward their own modeling methods and then supplement them. When students find their own modeling methods, they will be satisfied with their success and have a happy learning mood. Second, establishing an equation model to solve the following example is a very realistic problem in life, involving many complicated quantities. Through analysis, we can find the relationship between the quantities in this problem, and then we can establish an equation or inequality model.

Find out the conditions needed by the problem, then analyze, list formulas, calculate and verify the solution! I hope you can study happily!

Hope to adopt!